Problem 1 (25 points): The central span of the Golden Gate bridge is 4200 ft long and the tower's height from the roadway is 500 ft. y 2100 ft 500 ft The shape of the main suspension cables can be approximately modeled by the equation f(x)=C ex/c+ex/c for-2100 ft < x < 2100 ft and C = 4491 By using the equation 2100 200√1+ [f'(x)]² dx -2100 Note that f'(x) = (ex/C --*/c). Determine the length (L) of the main suspension cable using the following integration method (a) Three-point Gauss quadrature (b) Four-point Gauss quadrature.